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Finding the Third Proportional to 58,110 and 89,367

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Solution

The third proportional to 58,110 and 89,367 is: 137,436.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,110 : 89,367 = 89,367 : x
  2. Step 2: Convert to fraction form
    58,110/89,367 = 89,367/x
  3. Step 3: Cross multiply
    58,110x = 89,367 × 89,367
  4. Step 4: Simplify right side
    58,110x = 7,986,460,689
  5. Step 5: Solve for x
    x = 7,986,460,689/58,110
  6. Step 6: Final answer
    x = 137,436.94

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.